Jacobi metric for the Bartnik/McKinnon SU(2)-EYM field
Abstract
Motivated by the possibility of applying the Killing vector fields of the Jacobi metric for a particular spacetime-matter configuration to generate new solutions by continuous 1-parameter point transformations, we examine the associated Jacobi metric for theSU(2)-EYM field as given by Bartnik and McKinnon to see if internal symmetries of this kind exist. However, the only solution of the Killing equations we find is ξa=0. In addition we mention more general symmetry properties of the Jacobi metric.
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- December 1993
- DOI:
- 10.1007/BF00759034
- Bibcode:
- 1993GReGr..25.1295V